Mattie Evans drove 140 miles in the same amount of time that it took a turbo propeller plane to travel 480 miles. The speed of the plane was 170 mph faster than the speed of the car. Find the speed of the plane

Answer 1

Let's call the speed of the car x mph.
Since the turbo propeller plane was 170 mph faster than the car, its speed would be x + 170 mph.
To find the time it took for both the car and the plane to travel their respective distances, we can use the distance formula:

Time = Distance / Speed

For the car:
Time = 140 miles / x mph

For the plane:
Time = 480 miles / (x + 170) mph

Since the time is the same for both the car and the plane:
140 / x = 480 / (x + 170)

To solve this equation, we can cross-multiply:
140(x + 170) = 480x

Distribute:
140x + 23800 = 480x

Subtract 140x from both sides:
23800 = 340x

Divide both sides by 340:
x = 23800 / 340
x ≈ 70

Therefore, the speed of the car is approximately 70 mph.

The speed of the plane is:
70 + 170 = 240 mph.

So, the speed of the plane is 240 mph.